On modules over valuation domains whose finitely generated submodules are direct sums of cyclics

DOI10.1007/BF01194571zbMath0644.13001OpenAlexW1993003228MaRDI QIDQ1102330

B. George

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194571

zbMATH Keywords

valuation domaintorsion modulecyclically pure submodule

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Structure, classification theorems for modules and ideals in commutative rings (13C05)

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Cites Work

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• Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
• Separable torsion modules over valuation domains
• Injective Modules Over Prufer Rings
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• Almost Maximal Valuation Rings
• Modules Over Dedekind Rings and Valuation Rings